一般Rees商序S-系的特征  

Characterizations of General Rees Factor S-posets

作　　者：乔虎生 马娉婷 Hu Sheng QIAO;Ping Ting MA(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,P.R.China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《数学学报（中文版）》2021年第5期875-880,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11961058)。

摘　　要：对任意的序右S-系,刻画了一般Rees同余的偏序及特征,给出了一般Rees商系具有挠自由性和序挠自由性的充分必要条件.作为应用,给出了特殊Rees商系S/K的相关结果.The partial order and characterizations of general Rees congruence are characterized for arbitrary right S-poset,and the necessary and sufficient conditions that the general Rees factor S-poset have torsion free and po-torsion free properties are given.As applications,some related results of the specific Rees factor S-posets S/K are obtained.

关 键 词：序S-系 序幺半群 序S-同余 挠自由 

分 类 号：O152.7[理学—数学]